A relaxation method for large eigenvalue problems, with an application to flow stability analysis

X. Garnaud; L. Lesshafft; P. J. Schmid; J. M. Chomaz

doi:10.1016/j.jcp.2012.01.038

A relaxation method for large eigenvalue problems, with an application to flow stability analysis

X. Garnaud, L. Lesshafft, P. J. Schmid, J. M. Chomaz

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

Linear stability analysis of fluid flows usually involves the numerical solution of large eigenvalue problems. We present a spectral transformation allowing the computation of the least stable eigenmodes in a prescribed frequency range, based on the filtering of the linearized equations of motion. This "shift-relax" method has the advantage of low memory requirements and is therefore suitable for large two- or three-dimensional problems. For demonstration purposes, this new method is applied to compute eigenmodes of a compressible jet. © 2012 Elsevier Inc.

Original language	English (US)
Pages (from-to)	3912-3927
Number of pages	16
Journal	Journal of Computational Physics
Volume	231
Issue number	10
DOIs	https://doi.org/10.1016/j.jcp.2012.01.038
State	Published - May 20 2012
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)
Computer Science Applications

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10.1016/j.jcp.2012.01.038

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AU - Garnaud, X.

AU - Lesshafft, L.

AU - Schmid, P. J.

AU - Chomaz, J. M.

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PY - 2012/5/20

Y1 - 2012/5/20

N2 - Linear stability analysis of fluid flows usually involves the numerical solution of large eigenvalue problems. We present a spectral transformation allowing the computation of the least stable eigenmodes in a prescribed frequency range, based on the filtering of the linearized equations of motion. This "shift-relax" method has the advantage of low memory requirements and is therefore suitable for large two- or three-dimensional problems. For demonstration purposes, this new method is applied to compute eigenmodes of a compressible jet. © 2012 Elsevier Inc.

AB - Linear stability analysis of fluid flows usually involves the numerical solution of large eigenvalue problems. We present a spectral transformation allowing the computation of the least stable eigenmodes in a prescribed frequency range, based on the filtering of the linearized equations of motion. This "shift-relax" method has the advantage of low memory requirements and is therefore suitable for large two- or three-dimensional problems. For demonstration purposes, this new method is applied to compute eigenmodes of a compressible jet. © 2012 Elsevier Inc.

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JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 10

ER -

A relaxation method for large eigenvalue problems, with an application to flow stability analysis

Abstract

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